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Trim any fat from the breasts before seasoning them. If you're leaving the skin on in preparation for serving the crispy-skinned version, trim any overhanging skin and smooth the skin into an even layer over the chicken. If not, remove the skin before smoking the chicken.
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Boneless chicken breasts absorb a lot of flavor and watch well with a wide variety of wood. Use less of the more assertive wood like hickory or mesquite, or more of the milder wood chips like alder or cherry. Use 1 1/2 Tblsp hickory or mesquite OR 2 to 2 1/2 Tblsp alder or cherry wood chips.
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Season the chicken breasts with 1/2 teaspoon kosher salt and a scant 1/8 teaspoon freshly ground pepper each, adjusting that amount to your taste. Or rub a generous amount of your
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favorite rub into both sides of the chicken.
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Close the smoker lid and smoke the chicken breasts until an instant read thermometer registers 170u00b0F, 18-22 minutes for 6-oz/3/4-inch thick breasts, 22-25 minutes for 7-oz/1-inch thick breasts; 25-30 minutes for 8-oz, 1 1/4-inch thick breasts. Check for doneness with the instant read thermometer about 4 minutes before the end of the time.
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outlined above.
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For crispy-skinned chicken breasts, choose a nonstick pan large enough to hold the number of breasts you are serving. Heat it over medium-high heat a few minutes before the chicken breasts are done smoking. Lift the chicken with tongs from the smoker and lay them skin.
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side down in the pan. Cook until the skin is crispy and deep golden brown, about 3 minutes.
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Serve immediately.
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Note: Four 7-oz chicken breasts will yield about 3 cups shredded chicken meat.